Atkin-Lehner |
2+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
92950a |
Isogeny class |
Conductor |
92950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-89730379310000000 = -1 · 27 · 57 · 11 · 138 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 11+ 13+ -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,111874,529648] |
[a1,a2,a3,a4,a6] |
Generators |
[18806:911643:8] |
Generators of the group modulo torsion |
j |
2053225511/1189760 |
j-invariant |
L |
4.1088985309193 |
L(r)(E,1)/r! |
Ω |
0.20370376274326 |
Real period |
R |
5.0427376522682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999847714 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18590o1 7150t1 |
Quadratic twists by: 5 13 |